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Finding the Fourth Proportional to 7,031.48, 9,703.50 and 3,887.72

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Solution

The fourth proportional to 7,031.48, 9,703.50 and 3,887.72 is: 5,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,031.48 : 9,703.50 = 3,887.72 : x
  2. Step 2: Convert to fraction form
    7,031.48/9,703.50 = 3,887.72/x
  3. Step 3: Cross multiply
    7,031.48x = 9,703.50 × 3,887.72
  4. Step 4: Simplify right side
    7,031.48x = 37,724,491.02
  5. Step 5: Solve for x
    x = 37,724,491.02/7,031.48
  6. Step 6: Final answer
    x = 5,365.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.